A topological Maslov index for 3-graded Lie groups

Neeb KH, Ørsted B (2006)

Publication Type: Journal article, Original article

Publication year: 2006

Journal

Journal of Functional Analysis Elsevier

Publisher: Elsevier

Book Volume: 233

Pages Range: 426-477

DOI: 10.1016/j.jfa.2005.06.024

Abstract

Motivated by the generalization of the Maslov index to tube domains and by numerous applications of related index function in infinite-dimensional situations, we describe in this paper a topologically oriented approach to an index function generalizing the Maslov index for bounded symmetric domains of tube type to a variety of infinite-dimensional situations containing in particular the class of all bounded symmetric domains of tube type in Banach spaces. The framework is that of 3-graded Banach–Lie groups and corresponding Jordan triple systems.

Authors with CRIS profile

Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

Involved external institutions

Aarhus University DK Denmark (DK)

How to cite

APA:

Neeb, K.H., & Ørsted, B. (2006). A topological Maslov index for 3-graded Lie groups. Journal of Functional Analysis, 233, 426-477. https://doi.org/10.1016/j.jfa.2005.06.024

MLA:

Neeb, Karl Hermann, and Bent Ørsted. "A topological Maslov index for 3-graded Lie groups." Journal of Functional Analysis 233 (2006): 426-477.

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